4081692902400 has 1485 divisors, whose sum is σ = 16062989645703. Its totient is φ = 1024059801600.

The previous prime is 4081692902333. The next prime is 4081692902407. The reversal of 4081692902400 is 42092961804.

The square root of 4081692902400 is 2020320.

It is a perfect power (a square), and thus also a powerful number.

4081692902400 is a `hidden beast` number, since 40 + 81 + 6 + 9 + 290 + 240 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1880101684224 + 2201591218176 = 1371168^2 + 1483776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4081692902407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 66912998370 + ... + 66912998430.

Almost surely, 2^{4081692902400} is an apocalyptic number.

4081692902400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4081692902400 is the 2020320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081692902400

4081692902400 is an abundant number, since it is smaller than the sum of its proper divisors (11981296743303).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4081692902400 is an equidigital number, since it uses as much as digits as its factorization.

4081692902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4081692902400 in words is "four trillion, eighty-one billion, six hundred ninety-two million, nine hundred two thousand, four hundred".